This document discusses techniques for quantifying aortic stenosis and aortic regurgitation using transesophageal echocardiography. It describes using the simplified Bernoulli equation and continuity equation to calculate pressure gradients and regurgitant volumes. Measurement of velocities, pressure half-times, and jet widths are described for assessing severity of aortic regurgitation, while mean and peak gradients help indicate severity of aortic stenosis. Factors like cardiac output and the presence of other valve diseases are also accounted for in the quantification.